Missing Energy Reconstruction and Dark Matter Searches

The Missing transverse momentum (${E}_{T}^{miss}$) measurement is a powerful method of searching for particles that interact via the weak interaction. Precision measurements of ${E}_{T}^{miss}$ are critical for various studies in CMS. These can refer to Standard Model physics, e.g. W mass measurements or to beyond the Standard Model physics, e.g. searches for Dark Matter. The first part of this report discusses the reconstruction of the ${E}_{T}^{miss}$ in the W mass measurements and the calibration of the hadronic recoil created in the W bosons production. The main focus went to understand the recoil fit model in order to assign systematic uncertainties to the calibration. The second part concerns the Dark Matter searches at the LHC, studying the annihilation process of the Dark Matter in the Universe. According to this annihilation process, the new results implement additional constraints to the models that are studied at the LHC. Furthermore, the interpretations are expanded to higher mass regions compared to the ones that the LHC can reach, which can be used in the design choices of a Future Circular Collider construction.